# What are some applications of using radian measure?

##### 1 Answer

Jan 11, 2015

In physics you use radians to describe circular motion, in particular you use them to determine angular velocity,

You may be familiar with the concept of linear velocity given by the ratio of displacement over time, as:

where

Now, if you have a circular motion you use the final and initial ANGLES described during the motion to calculate velocity, as:

Where

(Picture source: http://francesa.phy.cmich.edu/people/andy/physics110/book/chapters/chapter6.htm)

Have a look to other rotational quantities you'll find a lot of ...radians!